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Sets generated by finite sets of algebraic numbers

Volume 184 / 2018

C. L. Stewart Acta Arithmetica 184 (2018), 193-200 MSC: Primary 11N80; Secondary 11J86. DOI: 10.4064/aa171204-9-4 Published online: 20 July 2018

Abstract

We study the distribution of the numbers generated by a finite set of multiplicatively independent algebraic numbers of absolute value larger than $1$. This generalizes work of Tijdeman on the distribution of integers which are formed from a finite set of primes.

Authors

  • C. L. StewartDepartment of Pure Mathematics
    University of Waterloo
    Waterloo, Ontario, Canada N2L 3G1
    e-mail

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